Semi-uniform input-to-state stability of infinite-dimensional systems
説明
We introduce the notions of semi-uniform input-to-state stability and its subclass, polynomial input-to-state stability, for infinite-dimensional systems. We establish a characterization of semi-uniform input-to-state stability based on attractivity properties as in the uniform case. Sufficient conditions for linear systems to be polynomially input-to-state stable are provided, which restrict the range of the input operator depending on the rate of polynomial decay of the product of the semigroup and the resolvent of its generator. We also show that a class of bilinear systems are polynomially integral input-to-state stable under a certain smoothness assumption on nonlinear operators.
収録刊行物
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- Mathematics of Control, Signals, and Systems
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Mathematics of Control, Signals, and Systems 34 (4), 789-817, 2022-12
Springer Nature
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詳細情報 詳細情報について
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- CRID
- 1050294113707904512
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- ISSN
- 1435568X
- 09324194
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- HANDLE
- 20.500.14094/0100477418
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- 本文言語コード
- en
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- 資料種別
- journal article
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- データソース種別
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